Ontological Invariant: Persistent Structures of the Universe under Changes in Fundamental Constants

This paper investigates a fundamental cosmological question: can anything survive catastrophic transitions, such as the heat death of the Universe or changes in fundamental constants? The author introduces the concept of a "persistent structure" (formally termed the "ontological invariant"). It is defined as a structure K ⊆ A(S) that retains its identifier Id(K) = Id(K') during a change of the ontological selector (S → S'). The text categorizes these structures into objective (topological, organizational) and subjective (informational, structural memory) types. Furthermore, it outlines two classes: Class A (Productive Bridge), which preserves the identifier and creates complexity gradients allowing mind to transition to a new universe, and Class B (Sterile Bridge), which loses the identifier or fails to create gradients, resulting in the obliteration of mind. A dedicated section compares the ontological invariant with the author's earlier "mind seed" hypothesis. While the invariant is a natural structure, the mind seed is a purposeful act. Nevertheless, the mind seed is conceptualized as a special case of a persistent structure where the carrier is mind. This apparatus operates within the IDM framework, linking to the Hierarchical Pulsating System of Realities (HPSR) and the Entity Forming Objects and Subjects (EFOS). The paper does not prove the existence of these structures but establishes a falsifiable hypothesis and a clear research program, highlighting that while physical objects and fields perish, structural information may endure.